10135944000 has 1512 divisors, whose sum is σ = 48358199448. Its totient is φ = 2012774400.

The previous prime is 10135943977. The next prime is 10135944029. The reversal of 10135944000 is 44953101.

It can be written as a sum of positive squares in 12 ways, for example, as 9073705536 + 1062238464 = 95256^2 + 32592^2 .

It is a super-2 number, since 2×10135944000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 596231992 + ... + 596232008.

Almost surely, 2^10135944000 is an apocalyptic number.

10135944000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10135944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24179099724).

10135944000 is an abundant number, since it is smaller than the sum of its proper divisors (38222255448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10135944000 is a wasteful number, since it uses less digits than its factorization.

10135944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 10135944000 in words is "ten billion, one hundred thirty-five million, nine hundred forty-four thousand".